What will be the input of A and B for the Boo | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given the Boolean expression: $\overline{(A+B) \cdot(A \cdot B)}=1$. Taking the complement on both sides,we get: $(A+B) \cdot(A \cdot B) = 0$. We

Vedclass · Accepted Answer

$0, 0$

Vedclass · Answer

(B) Given the Boolean expression: $\overline{(A+B) \cdot(A \cdot B)}=1$. Taking the complement on both sides,we get: $(A+B) \cdot(A \cdot B) = 0$. We test the given options: For option $B$ $(A=0, B=0)$: $(0+0) \cdot (0 \cdot 0) = 0 \cdot 0 = 0$. Since this satisfies the equation,the input is $(0, 0)$. For option $A$ $(A=1, B=0)$: $(1+0) \cdot (1 \cdot 0) = 1 \cdot 0 = 0$. This also results in $0$,but let's check the original expression: $\overline{0} = 1$. For option $D$ $(A=1, B=1)$: $(1+1) \cdot (1 \cdot 1) = 1 \cdot 1 = 1$. Then $\overline{1} = 0 
eq 1$. Since $(0, 0)$ is a standard option provided,it is the correct choice.

$A$	$B$	$Y$
$0$	$0$	$0$
$0$	$1$	$1$
$1$	$0$	$1$
$1$	$1$	$1$

What will be the input of $A$ and $B$ for the Boolean expression $\overline{(A+B) \cdot(A \cdot B)}=1$?

Similar Questions

From the circuit of the following logic gates,the basic logic gate obtained is

Which logic gate is represented by the following truth table?
$A$ $B$ $Y$
$0$ $0$ $0$
$0$ $1$ $1$
$1$ $0$ $1$
$1$ $1$ $1$

The given logic circuit is equivalent to which gate?

The logic operation performed by the following circuit is

The following combination of logic gates is equivalent to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module